Thermodynamics of Interacting Hard Rods on a Lattice

被引:2
|
作者
Benmessabih, Tounsi [1 ]
Bakhti, Benaoumeur [1 ]
Chellali, M. Reda [2 ]
机构
[1] Univ Mustapha Stambouli Mascara, Dept Phys, Mascara 29000, Algeria
[2] Karlsruhe Inst Technol, Inst Nanotechnol, Hermann von Helmholtz Pl 1, D-76344 Eggenstein Leopoldshafen, Germany
关键词
Hard rods; Long-range interactions; Lattice systems; DENSITY-FUNCTIONAL THEORY; MODEL;
D O I
10.1007/s13538-022-01133-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present an exact derivation of the isobaric partition function of lattice hard rods with arbitrary nearest-neighbor and long-range interactions. Free energy and all thermodynamics functions are derived accordingly, and they are written in a form that is suitable for numerical implementation. As an application, we have considered lattice rods with pure hard-core interactions, rods with long-range gravitational attraction, and finally a charged hard rods with charged boundaries (Bose gas), a model that is relevant for studying several phenomena such as charge regulation, ionic liquids near charged interfaces, and an array of charged smectic layers or lipid multilayers. In all cases, thermodynamic analyses have been done numerically using the Broyden algorithm.
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页数:9
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